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QUESTION

Use the following information for questions 41 - 44. Consumers spend an average of $13.80 on a meal at a restaurant.

Use the following information for questions 41 - 44. Consumers spend an average of $13.80 on a meal at a restaurant. Assume that the amount spent on a restaurant meal is normally distributed and the standard deviation is $2.00.

1)     What is the probability that a randomly selected person spent more than $10.00?

A.   0.644

B.    0.029

C.    0.971

D.   0.336

2)     What is the probability that a randomly selected person spent between $9.00 - $11.50?

A.   0.037

B.    0.117

C.    0.214

D.   0.135

3)     Between what two values will the middle 95% of the amounts spent fall?

A.   $9.88 to $17.72

B.    $8.22 to $16.59

C.    $9.51 to $18.69

D.   $7.75 to $17.45

4)     What is the amount that a randomly selected customer must pay for a meal to be in the top 10% of expenditures for a restaurant meal?

A.   $17.77

B.    $12.94

C.    $15.12

D.   $16.36

Use the following information to answer questions 45 - 47.

A study of the time spent shopping in a supermarket for a market basket of 20 specific items showed an approximately uniform distribution between 20 minutes and 40 minutes.

5)      What is the probability that the shopping time will be between 27 and 45 minutes?

A.   0.35

B.    0.65

C.    0.90

D.   0.15

6)     What is the probability that the shopping time will be less than 26 minutes?

A.   0.70

B.    0.25

C.    0.30

D.   0.15

7)      What is the probability that shopping time will be exactly 30 minutes?

A.   0.00

B.    0.50

C.    0.25

D.   0.75

Use the following information for Questions 48 - 50.

Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate of 51 per minute during the 5:00 to 6:00 p.m. hour (assume Exponential distribution).

8)      If an auto has just arrived, what is the probability that the next auto will arrive within 3 seconds?

A.   1.00

B.    0

C.    0.284

D.   0.922

9)     If an auto has just arrived, what is the probability that the next auto will arrive in the next 3 to 10 seconds?

A.   0.078

B.    0.024

C.    1.000

D.   0.000

10) If an auto has just arrived, what is the probability that the next auto will arrive after 2 seconds?

A.   0.000

B.    1.000

C.    0.183

D.   0.632

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